475111496799360 has 640 divisors, whose sum is σ = 1704475351972800. Its totient is φ = 126117770010624.

The previous prime is 475111496799307. The next prime is 475111496799439. The reversal of 475111496799360 is 63997694111574.

475111496799360 is a `hidden beast` number, since 4 + 7 + 5 + 1 + 1 + 1 + 496 + 79 + 9 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10275546162 + ... + 10275592398.

Almost surely, 2^{475111496799360} is an apocalyptic number.

475111496799360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475111496799360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852237675986400).

475111496799360 is an abundant number, since it is smaller than the sum of its proper divisors (1229363855173440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

475111496799360 is a wasteful number, since it uses less digits than its factorization.

475111496799360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47170 (or 47149 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 475111496799360 in words is "four hundred seventy-five trillion, one hundred eleven billion, four hundred ninety-six million, seven hundred ninety-nine thousand, three hundred sixty".